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Finding the Fourth Proportional to 32,043.48, 48,028.50 and 12,311.88

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Solution

The fourth proportional to 32,043.48, 48,028.50 and 12,311.88 is: 18,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,043.48 : 48,028.50 = 12,311.88 : x
  2. Step 2: Convert to fraction form
    32,043.48/48,028.50 = 12,311.88/x
  3. Step 3: Cross multiply
    32,043.48x = 48,028.50 × 12,311.88
  4. Step 4: Simplify right side
    32,043.48x = 591,321,128.58
  5. Step 5: Solve for x
    x = 591,321,128.58/32,043.48
  6. Step 6: Final answer
    x = 18,453.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.